Finding the Third Proportional to 137,081 and 209,510

Step by Step Solution

1. Step 1: Write the proportion equation
   137,081 : 209,510 = 209,510 : x
2. Step 2: Convert to fraction form
   137,081/209,510 = 209,510/x
3. Step 3: Cross multiply
   137,081x = 209,510 × 209,510
4. Step 4: Simplify right side
   137,081x = 43,894,440,100
5. Step 5: Solve for x
   x = 43,894,440,100/137,081
6. Step 6: Final answer
   x = 320,208.05